Exam 3 Topics List
Decision Error
- Bonferonni/FWER/Multiple comparisons
- Type I vs Type II error
- What is statistical power?
- Creating table with false positives/negatives
Types of tests and associated variables
- t-test/paired t-test (degrees of freedom)
- Chi-squared goodness of fit/independence
- ANOVA
- Regression
\(\chi^2\) Tests
- Null hypothesis
- Expected values
- Compute statistic
- Use critical value sheet
ANOVA
- Degrees of freedom
- What impacts F statistic
- Within vs between variability
- MSE and MSG
- Use for prediction
- Tukey HSD
Regression
- Interpret and write models
- Categorical (reference and indicators (testing difference))
- Inference for slope parameter
- Correlated predictors
- \(R^2\) and model comparison
- Residuals
Comprehensive Topics List
Exam 1
Statistical framework (parameter vs statistic)
Quantitative vs Categorical variables
What is a distribution?
- What values?
- How frequently?
Tables and Odds
- Conditional statistics (row/column/total)
- Associate plots with tables
- Use quantitative variable as categorical (i.e., enrollment as large
or small)
- Odds vs probability (go from one to the other)
- Exposure/non-exposure and event/non-event
- Odds ratios (OR < 1, OR = 1, OR > 1)
Z-scores
- What do the tell us about observations?
- Be able to construct given mean and sd
- Interpret
Exam 2
Sampling Distribution
- Distributional parameters
- Standard error vs standard deviation
- Sampling distribution definition
- Central Limit Theorem conditions
- When does it apply? When does it not?
- When is approximation likely correct?
- Normal distribution
- Standard normal distribution
Confidence Intervals
- Critical values and quantiles
- t-distribution
- How does each term impact location and size of CI
- Coverage probability (what does this mean?)
Hypothesis Testing
- What is a t-statistic? Can you write it?
- What is a t-test?
- Null Hypothesis and null distribution (sampling distribution when
null is true)
Do not need to know
How to compute p-values directly
Probability (i.e., Bayes and probability rules, though you should
still understand tables and conditionals (i.e., given placebo, what is
probability of cancer))
Types of study design
Computing SSE or SSG directly
R programming